The PBW Basis of Uq,q¯¯¯(gl¨n)
Author(s)
Neguț, Andrei
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We consider the PBW basis of the quantum toroidal algebra of gln, which was developed in Neguț (Adv. Math. 372, 2020), and prove commutation relations between its generators akin to the ones studied in Burban and Schiffmann (Duke Math. J. 161(7):1171–1231, 2012) for n = 1. This gives rise to a new presentation of the quantum toroidal algebra of type A.
Date issued
2022-03-25Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Transformation Groups
Publisher
Springer US
Citation
Neguț, A. The PBW Basis of Uq,q¯¯¯(gl¨n). Transformation Groups (2022).
Version: Final published version